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  1. A 2 k resistor is in series with a 0.015 F capacitor across a 15 kHz ac source. What is the magnitude of the total impedance and the phase angle?

    2. A.
    73.4 and θ = –19.5°
    B.
    707 and θ = –19.5°
    C.
    2121 and θ = –19.5°
    D.
    734 and θ = –38.9°

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    Answer : Option C

    Explanation :

    Xc = 1/2πfC = 707 Ω

    Z = R - jXc = 2000 - j(707)

    |z| = sqrt(R*R + Xc*Xc) = 2121 Ω

    Phase angle = arctangent(Xc/R) = 19.5°

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